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146014638 = 23711317997
BaseRepresentation
bin10001011010000…
…00000110101110
3101011202022102120
420231000012232
5244334432023
622253333410
73422050440
oct1055000656
9334668376
10146014638
117546aa60
1240a97266
1324334bc3
141556c490
15cc438e3
hex8b401ae

146014638 has 64 divisors (see below), whose sum is σ = 365603328. Its totient is φ = 37768320.

The previous prime is 146014637. The next prime is 146014657. The reversal of 146014638 is 836410641.

146014638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146014599 and 146014608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146014633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145956 + ... + 146952.

It is an arithmetic number, because the mean of its divisors is an integer number (5712552).

Almost surely, 2146014638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146014638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182801664).

146014638 is an abundant number, since it is smaller than the sum of its proper divisors (219588690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146014638 is a wasteful number, since it uses less digits than its factorization.

146014638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146014638 is about 12083.6516831627. The cubic root of 146014638 is about 526.5813400374.

The spelling of 146014638 in words is "one hundred forty-six million, fourteen thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 317 462 634 951 997 1902 1994 2219 2991 3487 4438 5982 6657 6974 6979 10461 10967 13314 13958 20922 20937 21934 24409 32901 41874 48818 65802 73227 76769 146454 153538 230307 316049 460614 632098 948147 1896294 2212343 3476539 4424686 6637029 6953078 10429617 13274058 20859234 24335773 48671546 73007319 146014638